Set equal to each other since both equal 90
5x-6y=-10x-6y
add 6y to both sides
5x=-10x
x=0
5(0)-6y=-90
-6y=90
divide by -6
y=-15
(x,y)
(0,-15)
The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.
The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.
<h3>Given</h3>
a cuboid with length, width, height dimensions 5, 6, x
<h3>Find</h3>
the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume
<h3>Solution</h3>
The volume is given by
... V = L·W·H = 5·6·x = 30x
The area is given by
... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x
When these are equal, we have
... 30x = 60 +22x
... 8x = 60
... x = 7.5
The desired value of x is 7.5.
Answer:
31.4 meters
Step-by-step explanation: use the formula 2 times pi times 5 then you just plug in 5 into the radius
Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.
